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Finding the Fourth Proportional to 2,037.20, 3,056.40 and 650.73

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Solution

The fourth proportional to 2,037.20, 3,056.40 and 650.73 is: 976.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.20 : 3,056.40 = 650.73 : x
  2. Step 2: Convert to fraction form
    2,037.20/3,056.40 = 650.73/x
  3. Step 3: Cross multiply
    2,037.20x = 3,056.40 × 650.73
  4. Step 4: Simplify right side
    2,037.20x = 1,988,891.17
  5. Step 5: Solve for x
    x = 1,988,891.17/2,037.20
  6. Step 6: Final answer
    x = 976.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.